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Finding the Fourth Proportional to 77,688, 116,551.44 and 33,292.80

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Solution

The fourth proportional to 77,688, 116,551.44 and 33,292.80 is: 49,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,688 : 116,551.44 = 33,292.80 : x
  2. Step 2: Convert to fraction form
    77,688/116,551.44 = 33,292.80/x
  3. Step 3: Cross multiply
    77,688x = 116,551.44 × 33,292.80
  4. Step 4: Simplify right side
    77,688x = 3,880,323,781.63
  5. Step 5: Solve for x
    x = 3,880,323,781.63/77,688
  6. Step 6: Final answer
    x = 49,947.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.